-4v^2-8v-11=0

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Solution for -4v^2-8v-11=0 equation: 


Simplifying
-4v2 + -8v + -11 = 0

Reorder the terms:
-11 + -8v + -4v2 = 0

Solving
-11 + -8v + -4v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(11 + 8v + 4v2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(11 + 8v + 4v2)' equal to zero and attempt to solve:

Simplifying
11 + 8v + 4v2 = 0

Solving
11 + 8v + 4v2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
2.75 + 2v + v2 = 0

Move the constant term to the right:

Add '-2.75' to each side of the equation.
2.75 + 2v + -2.75 + v2 = 0 + -2.75

Reorder the terms:
2.75 + -2.75 + 2v + v2 = 0 + -2.75

Combine like terms: 2.75 + -2.75 = 0.00
0.00 + 2v + v2 = 0 + -2.75
2v + v2 = 0 + -2.75

Combine like terms: 0 + -2.75 = -2.75
2v + v2 = -2.75

The v term is 2v.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2v + 1 + v2 = -2.75 + 1

Reorder the terms:
1 + 2v + v2 = -2.75 + 1

Combine like terms: -2.75 + 1 = -1.75
1 + 2v + v2 = -1.75

Factor a perfect square on the left side:
(v + 1)(v + 1) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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